16.5 Exercise 11

Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 7.00 cm, a wave number of $k = 3.00 \text{m}^{−1} ,$ an angular frequency of $\omega = 2.50 \text{s}^{−1} ,$ and a period of 6.00 s, but one has a phase shift of an angle $\phi = \frac{\pi}{12} \text{rad} .$ What is the height of the resultant wave at a time $t = 2.00 \text{s}$ and a position $x = 0.53 \text{m}?$